School of Mathematics and Statistics - Theses
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Stress testing mixed integer programming solvers through new test instance generation methods
Optimisation algorithms require careful tuning and analysis to perform well in practice. Their performance is strongly affected by algorithm parameter choices, software, and hardware and must be analysed empirically. To ...
Intelligent Management of Elective Surgery Patient Flow
Rapidly growing demand and soaring costs for healthcare services in Australia and across the world are jeopardising the sustainability of government-funded healthcare systems. We need to be innovative and more efficient ...
Copula-based spatio-temporal modelling for count data
Modelling of spatio-temporal count data has received considerable attention in recent statistical research. However, the presence of massive correlation between locations, time points and variables imposes a great computational ...
Singular vectors for the WN algebras and the BRST cohomology for relaxed highest-weight Lk(sl(2)) modules
This thesis presents the computation of singular vectors of the W_n algebras and the BRST cohomology of modules of the simple vertex operator algebra L_k(sl2) associated to the affine Lie algebra of sl2 in the relaxed ...
Missing data analysis, combinatorial model selection and structure learning
This thesis examines three problems in statistics: the missing data problem in the context of extracting trends from time series data, the combinatorial model selection problem in regression analysis, and the structure ...
Exact solutions in multi-species exclusion processes
The exclusion process has been the default model for the transportation phenomenon. One fundamental issue is to compute the exact formulae analytically. Such formulae enable us to obtain the limiting distribution through ...
Yang-Baxter integrable dimers and fused restricted-solid-on-solid lattice models
The main objects of investigation in this thesis are two Yang-Baxter integrable lattice models of statistical mechanics in two dimensions: nonunitary RSOS models and dimers. At criticality they admit continuum descriptions ...
Consolidation problems in freight transportation systems: mathematical models and algorithms
Freight distribution systems are under stress. With the world population growing, the migration of people to urban areas and technologies that allow purchases from virtually anywhere, efficient freight distribution can be ...
Models of infectious disease transmission to explore the effects of immune boosting
Despite advances in prevention and control, infectious diseases continue to be a burden to human health. Many factors, including the waning and boosting of immunity, are involved in the spread of disease. The link between ...
Quantitative Epidemiology: A Bayesian Perspective
Influenza inflicts a substantial burden on society but accurate and timely forecasts of seasonal epidemics can help mitigate this burden by informing interventions to reduce transmission. Recently, both statistical ...